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Displacement and Vectors Assignment: Calculating Net Displacements and Vector Diagrams, Exercises of Physics

Physics

A physics assignment focusing on the concepts of displacement and vectors. Students are required to calculate net displacements, draw vector diagrams, and measure displacements from given data. The assignment covers various scenarios, such as walking, running, hiking, and flying, and includes questions related to finding the total displacement, direction, and distance traveled.

Typology: Exercises

2020/2021

Uploaded on 01/21/2021

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Physics 504 Displacement & Vectors Name/Group: _______
Assignment #2 - Displacement & Vectors
Answer every question directly on the paper. Please highlight or box your final answer. Every
question is worth 4 marks. Remember sig. figs and units in your final answers!
1. You walk 4.50 x 102 m towards your French class [E], then realize you forgot something
in your locker. You walk 675 m towards your locker [W].
a) What distance did you travel?
b) What was your total displacement?
2. Calculate the net displacement for each question. Don’t forget to include the direction
along with all units. Show necessary work including rough vector diagrams.
a) You are training for the upcoming cross-country season. You run 7.0 km [N], then
turn and run 5.0 km [W].
b) On an Outdoor Ed hike, you hike 4.25 km [S] along a trail in the Gatineau Parc.
You stop for a snack, then continue 1.85 km [E].
3. You are driving to your cottage from your house. You notice that your total displacement
is 1.70 x 102 km [25.0° E of S]. How many kilometres south is your cottage from your
house? (Include a rough vector diagram.)
Total: /40
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Physics 504 Displacement & Vectors Name/Group: _______

Assignment #2 - Displacement & Vectors

Answer every question directly on the paper. Please highlight or box your final answer. Every question is worth 4 marks. Remember sig. figs and units in your final answers!

  1. You walk 4 .50 x 10^2 m towards your French class [E], then realize you forgot something in your locker. You walk 6 7 5 m towards your locker [W]. a) What distance did you travel? b) What was your total displacement?
  2. Calculate the net displacement for each question. Don’t forget to include the direction along with all units. Show necessary work including rough vector diagrams. a) You are training for the upcoming cross-country season. You run 7.0 km [N], then turn and run 5 .0 km [W]. b) On an Outdoor Ed hike, you hike 4. 25 km [S] along a trail in the Gatineau Parc. You stop for a snack, then continue 1. 85 km [E].
  3. You are driving to your cottage from your house. You notice that your total displacement is 1. 7 0 x 10^2 km [2 5 .0° E of S]. How many kilometres south is your cottage from your house? (Include a rough vector diagram.)

Total: /

  1. A boat sails 6 .0 km [E], then turns and sails 2.5 km [S]. a) Draw a vector diagram to scale (use a ruler!) to show the path taken by the boat. (Let 1cm = 1km) b) From your diagram above, measure the displacement & direction of the path taken by the boat. Include absolute uncertainty for each measurement. c) Calculate the displacement & direction of the path taken by the boat using the original given data.
  2. Your phys ed teacher makes you run the following path as a warm up at the beginning of class: 26.5 m [W], then 1 8 .0 m [S], then 46.0 m [E] and finally 1 5 .5 m [S]. What is your net displacement?
  3. You are flying to England. Your plane travels a distance east, then a distance north, to a position 4 .600 x 10^3 km [27° E of N] from your starting point (the Ottawa Airport). How far east & how far north did the plane travel? Include a rough vector diagram.

  1. A golf ball travels 5 .9 m [2 6 .0° N of E] when it hits a tree, the ball changes direction and travels 9. 6 m [ 31 .0° E of S]. It then hits a golf cart and travels 2 .9 m [32.0° W of N]. What was the net displacement of the golf ball? Show ALL your work, including diagrams.

  2. Phil and Bill have to determine the area of a large rectangular field. To do so, Phil walks the length of the field with his section of 10 m string and takes a length measurement of (1 90 ± 5 ) m. Bill walks the width of the field using a 4 m string and determines the width to be ( 68 ± 2) m. Determine the area of the field including uncertainty.